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 A264257 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0. 12
 4, 10, 9, 29, 33, 25, 89, 157, 180, 64, 260, 1124, 1920, 760, 169, 772, 5468, 23805, 14893, 3653, 441, 2281, 32361, 254393, 397462, 147797, 16401, 1156, 6741, 181644, 2896729, 7877184, 7467925, 1273553, 76330, 3025, 19940, 1005279, 32417000 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....4......10.........29.............89.............260..............772 .....9......33........157...........1124............5468............32361 ....25.....180.......1920..........23805..........254393..........2896729 ....64.....760......14893.........397462.........7877184........180566464 ...169....3653.....147797........7467925.......301623757......13509166173 ...441...16401....1273553......132080760.....10265640512.....917543249651 ..1156...76330...11868873.....2411543681....372797128908...65622177560404 ..3025..348480..105792288....43298007242..13053476555570.4563171069771635 ..7921.1607429..966768105...784323747917.466441716294953 .20736.7373520.8711282401.14141096261412 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3) k=2: a(n) = a(n-1) +16*a(n-2) +9*a(n-3) -29*a(n-4) -9*a(n-5) +16*a(n-6) -a(n-7) -a(n-8) k=3: [order 33] Empirical for row n: n=1: a(n) = 2*a(n-1) +2*a(n-2) +2*a(n-3) +4*a(n-5) -a(n-8) n=2: [order 47] EXAMPLE Some solutions for n=3 k=4 ..1..0..7..8..3....5..6..1..4..2....5..2..3..4..9....5..2..0..1..3 .10.11..2..6..4....0..7..8..3.14....0..1..8.13..7....6.11.12..7..4 ..5.12.13.14..9...11.16.13.12..9...15..6.17.18.19...15.16.13..8..9 .16.17.15.19.18...10.15.18.19.17...10.11.12.16.14...10.17.18.19.14 CROSSREFS Column 1 is A007598(n+2). Row 1 is A264158. Sequence in context: A053248 A081547 A264272 * A111072 A189895 A310333 Adjacent sequences: A264254 A264255 A264256 * A264258 A264259 A264260 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 09 2015 STATUS approved

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)